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3, 5, 9, 13, 23, 35, 59, 93, 153, 245, 399, 643, 1043, 1685, 2729, 4413, 7143, 11555, 18699, 30253, 48953, 79205, 128159, 207363, 335523, 542885, 878409, 1421293, 2299703, 3720995, 6020699, 9741693, 15762393, 25504085, 41266479, 66770563
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The least significant digits are a sequence of period length 4: 3,5,9,3.
One could extend A014217 using its recurrence to define A014217(-1)=-1. This would add a(-1)=3 here by definition, and the least significant digits would still follow the (same, wrapped) period of length 4: 3,3,5,9.
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FORMULA
| a(2n+2)=a(2n+1)+a(2n)+1. a(2n+3)=a(2n+2)+a(2n+1)-1.
a(n)=2*a(n-2)+a(n-3) = (-1)^n+2*A000032(n+1). G.f.: (3+5x+3x^2)/ ((1+x)(1-x-x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 07 2009, Apr 18 2009]
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CROSSREFS
| Sequence in context: A146905 A052282 A001993 * A144933 A133033 A145365
Adjacent sequences: A153260 A153261 A153262 * A153264 A153265 A153266
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Dec 22 2008
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 07 2009
Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 18 2009
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